What is common between the three sequences mentioned below 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 -35, -30, -25, -20, -15, -10, -5 All of the above-mentioned sequences are Arithmetic progressions abbreviated as AP. And what do we mean by …
How do you think an architecture calculates the amount of time-period required for completion of a project? Or how does one know much material will be required for the construction of any structure? Well, this is done using an interesting concept known as ‘Binomial theorem’. And what do we mean by this? A polynomial consisting …
Sometimes to deal with a problem we need to optimize certain resources. These resources could be either time, money, or anything else. These resources are also called ‘constraints’. One of the best examples of this is our diet. We need more protein for building muscles, but we also need carbohydrates for energy. So we need …
Word problems always make you sweat in stress. One reason for this is because of the confusing questions asked. For instance – try finding an answer to this question – Bob and Martha have 45 chocolates. They gave 15 chocolates to Cathy. How many chocolates does Bob have? All that we know is – Bob …
When you throw a ball in the air it covers a path that can be modeled by a parabola. For any given height there will be two positions of the ball. A simple parabola equation is y = x2. Here we can see that ‘y’ can be either ‘+x’ or ‘-x’. So quadratic equation is …
Can you recall any number that has a negative value for its square? You might have multiplied several numbers, but none of those would have given you a negative square. There arises the complexity. There are negative squares – which are identified as ‘complex numbers’. For instance: -1i is a complex number. Here ‘i’ refers …
Analyzing a data set that has a very large value like 45782945764 or a very small value like 0.0024854693 is too difficult. To plot such data on a linear scale often doesn’t make much sense. So what can be done about this? This is where logarithm comes into the picture. Plotting such data on a …
How do you encrypt confidential data? Encryption in technology is done with the help of codes. These codes perform the function like a key to the lock. Without proper codes, one cannot decrypt the data. The concept of matrices come into the picture while designing the code. But what is a matrix? It is defined …
Imagine a round cake. What is its area? By using the formula that we have studied in the lower grades, we can find the answer easily. But what if we tell you to to find the area of one slice of the cake? Is there a way to find its area? One slice of the …
Have you ever inspected an ice-cream? It reveals two solid objects, one a hemispherical scoop of delightful ice-cream, and second, the conical part that is a cone. So, this ice-cream is a combination of a cone and a hemisphere. What if we tell you to find out the volume and surface area of that entire …
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